A041086 Numerators of continued fraction convergents to sqrt(51).
7, 50, 707, 4999, 70693, 499850, 7068593, 49980001, 706788607, 4997500250, 70671792107, 499700044999, 7066472422093, 49965006999650, 706576570417193, 4996000999920001, 70650590569297207, 499550134985000450, 7064352480359303507, 49950017497500124999
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..80
- Index entries for linear recurrences with constant coefficients, signature (0,100,0,-1).
Programs
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Mathematica
Numerator[Convergents[Sqrt[51], 30]] (* Vincenzo Librandi, Oct 29 2013 *) LinearRecurrence[{0,100,0,-1},{7,50,707,4999},20] (* Harvey P. Dale, Dec 04 2014 *)
Formula
G.f.: -(x^3-7*x^2-50*x-7) / (x^4-100*x^2+1). - Colin Barker, Nov 04 2013
Extensions
More terms from Colin Barker, Nov 04 2013